1=i²=j²=k²
-1=(ij)²=(jk)²=(ki)²
The anti-commutative {i,j,k} unit vector basis gives position formula
r=√(r²)ke^(kiθe^(ijφ))
ij, jk & ki are rotators.
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The 100 coins paradox is my fav. A 2 player game where they each take turn taking 1 coin. But taking 2 ends the game. 🤔
If there are 3 left, the next player should take 2, so the current player should take 2. But then that's also true if there are 4 left, 5 left, etc. The next player should always take 2 & end the game. So greed kills the game (a paradox of greed). 98 coins are returned after the initial player takes 2, leaving them both poor.
I first read this back in undergrad, in 2007. It was in Paradoxes, by R.M. Sainsbury.
https://philosophy.stackexchange.com/questions/1697/100-coins-paradox
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World Map, by Misterios Olvidados.
The Great Australian Bight/s & Bering Strait are missing. I don't see Italy.
It contains SIRIUS, MARTE, ORION, PLEIDES, CYCLOPS & LEMÚRIA. 😮
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OU 20/01/25
18:15
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